Diagram 2 shows a piece of rectangular card in grey colour The white region is a ribbon with width y cm. The area of the card which is not covered by the ribbon is 96 cm.

Form an equation, in terms of x and y, based on the statements above.

Solution:

we have given the length of the rectangular card-

and, width-

now, the area of the card will be- length×width.

so, we have-

we also have given the length of ribbon-

and, width-

so, area of the ribbon is-

length×width

now the area of shaded gray region will be-

Hence, the required expression would the above expression.